Lipschitz estimates for systems with ellipticity conditions at infinity

By Michela Eleuteri, Paolo Marcellini, Elvira Mascolo. 2016

106 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/e6b0dacb476164ace673f8ad76e4a0dca51c1b89

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In Applied Mathematics

In Computational Theory and Mathematics

Citations in the corpus

Regularity results for vectorial minimizers of a class of degenerate convex integrals (2018, methodology): “11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 A Sobolev type assumption, combined with a degenerate ellipticity and nonstandard growth conditions, has been used in [17], where it is proven the local Lipschitz continuity of minimizers o”
Recent developments in problems with nonstandard growth and nonuniform ellipticity (2021, background): “• When f ≡ 0, Theorem 12 has been proved for the first time in [100].”
Regularity for scalar integrals without structure conditions (2018, methodology): “In this context see [10, 14, 25] and recently [13, 19, 20].”
A variational approach to parabolic equations under general and p,q-growth conditions (2020, background): “Colombo–Mingione [4–6] (see also [34,35]).”
Growth conditions and regularity for weak solutions to nonlinear elliptic pdes (2020, background): “The following is a related regularity result by Eleuteri-Marcellini-Mascolo [44], valid for a generalized class of double (or multi) phase energy integrands, whose prototype is given by f(x, ξ) = a (x) |ξ|p + b (x) |ξ|s + |ξn|q , (3.12) ξn being the last (or any other) component of the vector ξ = (ξ”
On the Regularity of Minima of Non-autonomous Functionals (2019, methodology): “, F (x, z) ≡ F (x, |z|) (see for instance [5, 24]).”
Regularity for general functionals with double phase (2017, background): “These are very common and heavy tools in the setting of functionals with non-standard growth conditions (see for instance [11, 9, 12, 16, 17, 25, 26]), that in fact do not allow to reach optimal assumptions in several situations.”